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14106637511424 = 283229211126639
BaseRepresentation
bin1100110101000111010100…
…0111100010101100000000
31211221120200211012210221200
43031101311013202230000
53322110343200331144
650000255543021200
72654112425265243
oct315216507425400
954846624183850
1014106637511424
114549656130317
1216b9b6443a800
137b433392cc33
1436aa9cc4b25a
15196e2cbecc69
hexcd4751e2b00

14106637511424 has 108 divisors (see below), whose sum is σ = 42075428085600. Its totient is φ = 4540067223552.

The previous prime is 14106637511383. The next prime is 14106637511513. The reversal of 14106637511424 is 42411573660141.

14106637511424 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 6 + 637 + 5 + 1 + 1 + 4 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14106637511424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105496504 + ... + 105630135.

Almost surely, 214106637511424 is an apocalyptic number.

It is an amenable number.

14106637511424 is an abundant number, since it is smaller than the sum of its proper divisors (27968790574176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14106637511424 is a wasteful number, since it uses less digits than its factorization.

14106637511424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211126690 (or 211126673 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 14106637511424 in words is "fourteen trillion, one hundred six billion, six hundred thirty-seven million, five hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 928 1044 1152 1392 1856 2088 2304 2784 3712 4176 5568 7424 8352 11136 16704 22272 33408 66816 211126639 422253278 633379917 844506556 1266759834 1689013112 1900139751 2533519668 3378026224 3800279502 5067039336 6122672531 6756052448 7600559004 10134078672 12245345062 13512104896 15201118008 18368017593 20268157344 24490690124 27024209792 30402236016 36736035186 40536314688 48981380248 54048419584 55104052779 60804472032 73472070372 81072629376 97962760496 110208105558 121608944064 146944140744 162145258752 195925520992 220416211116 243217888128 293888281488 391851041984 440832422232 486435776256 587776562976 783702083968 881664844464 1175553125952 1567404167936 1763329688928 2351106251904 3526659377856 4702212503808 7053318755712 14106637511424